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• W2004231062 startingPage "205005" @default.
• W2004231062 abstract "In Lovelock theories, gravity can travel faster or slower than light. The causal structure is determined by the characteristic hypersurfaces. We generalise a recent result of Izumi to prove that any Killing horizon is a characteristic hypersurface for all gravitational degrees of freedom of a Lovelock theory. Hence gravitational signals cannot escape from the region inside such a horizon. We investigate the hyperbolicity of Lovelock theories by determining the characteristic hypersurfaces for various backgrounds. First we consider Ricci flat type N spacetimes. We show that characteristic hypersurfaces are generically all non-null and that Lovelock theories are hyperbolic in any such spacetime. Next we consider static, maximally symmetric black hole solutions of Lovelock theories. Again, characteristic surfaces are generically non-null. For some small black holes, hyperbolicity is violated near the horizon. This implies that the stability of such black holes is not a well-posed problem." @default.
• W2004231062 created "2016-06-24" @default.
• W2004231062 creator A5030147512 @default.
• W2004231062 creator A5078531032 @default.
• W2004231062 creator A5086052031 @default.
• W2004231062 date "2014-10-03" @default.
• W2004231062 modified "2023-10-01" @default.
• W2004231062 title "Causality and hyperbolicity of Lovelock theories" @default.
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• W2004231062 doi "https://doi.org/10.1088/0264-9381/31/20/205005" @default.
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